【摘要】 利用差分代替导数,讨论了4n+1个等距结点上2-周期(0,p(δ/2h))三角插值问题,得到了插值解存在的充分必要条件及插值基多项式,是对相应的2-周期(0,p(D))三角插值问题结论的推广。更多还原

【Abstract】 Based on the method that difference replaced derivative,2-periodic 〔0,p〔δ/2h〕〕 trigonometric interpolation was considered on 4 n+1 equidistant nodes,and the sufficient and necessary condition and the basic polynomials of interpolation problem were established,which is a generalization of 2-periodic( 0,p( D)) trigonometric interpolation theory.更多还原